Statistics in the Health Sciences

Theory, Applications, and Computing

Albert Vexler, Alan Hutson

• Publisher: Chapman and Hall/CRC
• Year: 2018
• eBook ISBN: 9781315293752
• Edition: 1
• Topic: Mathematics
• Subtopic: Probability & Statistics
• Index: Mathematics

"This very informative book introduces classical and novel statistical methods that can be used by theoretical and applied biostatisticians to develop efficient solutions for real-world problems encountered in clinical trials and epidemiological studies. The authors provide a detailed discussion of methodological and applied issues in parametric, semi-parametric and nonparametric approaches, including computationally extensive data-driven techniques, such as empirical likelihood, sequential procedures, and bootstrap methods. Many of these techniques are implemented using popular software such as R and SAS."— Vlad Dragalin, Professor, Johnson and Johnson, Spring House, PA

"It is always a pleasure to come across a new book that covers nearly all facets of a branch of science one thought was so broad, so diverse, and so dynamic that no single book could possibly hope to capture all of the fundamentals as well as directions of the field. The topics within the book's purview—fundamentals of measure-theoretic probability; parametric and non-parametric statistical inference; central limit theorems; basics of martingale theory; Monte Carlo methods; sequential analysis; sequential change-point detection—are all covered with inspiring clarity and precision. The authors are also very thorough and avail themselves of the most recent scholarship. They provide a detailed account of the state of the art, and bring together results that were previously scattered across disparate disciplines. This makes the book more than just a textbook: it is a panoramic companion to the field of Biostatistics. The book is self-contained, and the concise but careful exposition of material makes it accessible to a wide audience. This is appealing to graduate students interested in getting into the field, and also to professors looking to design a course on the subject." — Aleksey S. Polunchenko, Department of Mathematical Sciences, State University of New York at Binghamton

This book should be appropriate for use both as a text and as a reference. This book delivers a "ready-to-go" well-structured product to be employed in developing advanced courses. In this book the readers can find classical and new theoretical methods, open problems and new procedures.

The book presents biostatistical results that are novel to the current set of books on the market and results that are even new with respect to the modern scientific literature. Several of these results can be found only in this book.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Dedication
• Table of Contents
• Preface
• Authors
• 1. Prelude: Preliminary Tools and Foundations
• 2. Characteristic Function–Based Inference
• 3. Likelihood Tenet
• 4. Martingale Type Statistics and Their Applications
• 5. Bayes Factor
• 6. A Brief Review of Sequential Methods
• 7. A Brief Review of Receiver Operating Characteristic Curve Analyses
• 8. The Ville and Wald Inequality: Extensions and Applications
• 9. Brief Comments on Confidence Intervals and p-Values
• 10. Empirical Likelihood
• 11. Jackknife and Bootstrap Methods
• 12 Examples of Homework Questions
• 13 Examples of Exams
• 14 Examples of Course Projects
• References
• Author Index
• Subject Index